We focus our calibration and uncertainty quantification experiments on parameters in the GCM's convection scheme, which is a quasi-equilibrium moist convection scheme that can be viewed as a simplified version of the Betts-Miller convection scheme [1]}, [2]}, [3]}. It relaxes temperature \(T\)  and specific humidity \(q\)  toward reference profiles on a timescale \(\tau \)  [4]}:
\(\frac{\partial T}{\partial t} + \cdots = - f_T\frac{T - T_\mathrm {ref}}{\tau }\) 
